Internal Preprint Seminar: Congruences of Elliptic Curves with Small Conductor

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• Sam Frengley (University of Cambridge)
• Tuesday 03 November 2020, 14:30-15:30
• Online.

If you have a question about this talk, please contact Rong Zhou.

Please contact the organisers for registration details

Elliptic curves are said to be p-congruent if their p-torsion subgroups are isomorphic as Galois modules. I will discuss work of Cremona and Freitas which shows that for p > 17 there are no nontrivial p-congruences of elliptic curves with conductor less than 500,000, as predicted by a conjecture of Frey and Mazur.

This talk is part of the Number Theory Seminar series.

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